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A sinusoidal alternating voltage is displayed on a Cathode Ray Oscilloscope (C.R.O.). The y-sensitivity is 10 V/cm and the time base is 0.2 ms/cm. (a) Determine the peak voltage. (b) Determine the fre

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2 parts
a

20 V\text{20 V}

b

1000 Hz\text{1000 Hz}

Step-by-step solution

5 steps

Here are the solutions to your questions:

Part a· 2 steps

The peak voltage.

  1. Determine the vertical deflection from the trace.

    From the figure, the peak of the waveform is 2 divisions (cm) from the center line.

  2. Calculate the peak voltage using the y-sensitivity.

    Given y-sensitivity = 10 V/cm10 \text{ V/cm}.

    Vpeak=vertical deflection×y-sensitivityV_{\text{peak}} = \text{vertical deflection} \times \text{y-sensitivity} Vpeak=2 cm×10 V/cmV_{\text{peak}} = 2 \text{ cm} \times 10 \text{ V/cm} Vpeak=20 VV_{\text{peak}} = 20 \text{ V}

    The peak voltage is 20 V\boxed{\text{20 V}}.

Part b

1000 Hz\text{1000 Hz}

The frequency of the alternating signal.

  1. Determine the period of one complete cycle from the trace.

    From the figure, one complete cycle spans 5 divisions (cm) horizontally.

  2. Calculate the period using the time base setting.

    Given time base = 0.2 ms/cm0.2 \text{ ms/cm}.

    T=horizontal length of one cycle×time baseT = \text{horizontal length of one cycle} \times \text{time base} T=5 cm×0.2 ms/cmT = 5 \text{ cm} \times 0.2 \text{ ms/cm} T=1 msT = 1 \text{ ms}

    Convert the period to seconds:

    T=1×10−3 sT = 1 \times 10^{-3} \text{ s}

  3. Calculate the frequency.

    f=1Tf = \frac{1}{T} f=11×10−3 sf = \frac{1}{1 \times 10^{-3} \text{ s}} f=1000 Hzf = 1000 \text{ Hz}

    The frequency of the alternating signal is 1000 Hz\boxed{\text{1000 Hz}}.

Part c

State two reasons why a C.R.O. is advantageous to use as a voltmeter over ordinary meters.

  • A CRO has a very high input impedance, meaning it draws negligible current from the circuit under test, thus not altering the circuit's operating conditions.
  • It can display the waveform of the voltage, allowing for the measurement of peak voltage, peak-to-peak voltage, period, and frequency, which ordinary voltmeters cannot do. (It can also measure very high frequencies and has a fast response time).

Part d

List two uses of the graphite used in the T.V. set.

  • As an Aquadag coating on the inner surface of the Cathode Ray Tube (CRT) to collect secondary electrons and maintain a uniform electric field.
  • As a conductive path or shield within the CRT to prevent unwanted electrostatic interference.
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